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Ning Wenxin, Gao Eryang, Lin Yuxin, Wan Mingchao, Yan Yan

A Study on the Relationship between the Factors and Glue

Viscosity

Design of Experiment

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Content

• Design Methodologies• Factor Analysis• Design Matrix

• Engineering Background & Preparation• Experiment Introduction• Literature Review

• Analytical Procedures • Conclusions

• Experiment Procedures

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Background

Glue plays an important role in daily life.

It is not to exaggerate that without glue, one will not work efficiently.

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Objective

The experiment aims at figuring out the impact of different factors to glue viscosity.

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Literature Review

• Component analysis

• PVA is indispensable in viscosity.

• However, the effect of PVA is impacted by temperature, time, humidity and etc.

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Literature Review• Standard of office glue• Temperature, humidity, contact

surface, time, concentration of glue will all affect the viscosity of glue.

《中华人民共和国轻工行业标准 .2011 》

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Factor Analysis

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Factor Analysis• Environment and people are hard to

control precisely, so blocking such factors will lead to a better result.

• As surface roughness of wall and coated plank are obviously distinct, choose them to be two conditions.

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Factor AnalysisPreliminary experiments

• Concentration, 66.6% is the lower bound of viscosity.

• Viscous force doubles when processing time increases from 3min to 7min.

• Force doubles when surface area changes from 50% to 100%.

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Response Variable

Response variable Range Precision

Relationship of response variable to

objective

Viscous force (0, 500) g Spring

dynamometerEstimate mean effect

of each factors

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Constant Variables

 Factor (units)

Desired experim

ental level

Measurement

precision How to control (in

experiment) Anticipated

effects

Temperature 25℃ Thermomet

er Same temperature.Slight effect

in the result.

Humidity 40%-60% Hygrometer Same humidity.

Slight effect in the result.

Wind power 0 Experience Indoors. No impact.Sort of glue Same Experience A same bottle of glue. No impact.

Sort of water Same Experience A same bottle of water

to dilute the glue. No impact.

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Control Variables (Full factorial design)Control variabl

e

Normal level & range

Precision & setting

error Proposed settings Predicted

effects

Time (0, 10) min

Stopwatch (0.01s)

Lower : 2 to 4 minHigher one : 6 to 8 min

The longer the time, the larger

the force.

Rough-ness

Rough and

smooth

Experience Rough : wall Smooth : coated plank

The smoother the surface, the larger the force.

Concen-tration

(66.6%,

100%)Experience Lower : 66.6%

Higher : 100%

The higher the concentration, the larger the

force.Surface

area25*34 mm2 Ruler Lower : 20*17 mm2

Higher : 25*34 mm2

The larger the area, the larger

the force.

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Nuisance Factors

Nuisance factor

Measurement

precisionStrategy Anticipated effects

Pressure Experience

A same and skilled operator.

After practice, factor is in control.

Uniformity

Experience

A same and skilled operator.

After practice, factor is in control.

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Design MatrixStandard Sequence

Actual Sequence Time Contact

Area Concentration Contact Surface

1 1 2min~4min 17mm*20mm 60% wall2 2 6min~8min 17mm*20mm 60% wall3 3 2min~4min 25mm*34mm 60% wall4 4 6min~8min 25mm*34mm 60% wall5 5 2min~4min 17mm*20mm 100% wall6 6 6min~8min 17mm*20mm 100% wall7 7 2min~4min 25mm*34mm 100% wall8 8 6min~8min 25mm*34mm 100% wall9 9 2min~4min 17mm*20mm 60% coated plank

10 10 6min~8min 17mm*20mm 60% coated plank11 11 2min~4min 25mm*34mm 60% coated plank12 12 6min~8min 25mm*34mm 60% coated plank13 13 2min~4min 17mm*20mm 100% coated plank14 14 6min~8min 17mm*20mm 100% coated plank15 15 2min~4min 25mm*34mm 100% coated plank16 16 6min~8min 25mm*34mm 100% coated plank

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Experiment Equipment

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Experiment Procedure

Clean the surface

Apply the glue evenly

Position the hook

Wait for some time

Add weight until the hook fall down

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标准序 运行序 time area concentration roughness replication

1replicatio

n21 1 -1 -1 -1 -1 160 1402 2 1 -1 -1 -1 400 3603 3 -1 1 -1 -1 410 4004 4 1 1 -1 -1 470 4805 5 -1 -1 1 -1 400 1806 6 1 -1 1 -1 240 3607 7 -1 1 1 -1 300 3408 8 1 1 1 -1 440 4809 9 -1 -1 -1 1 160 120

10 10 1 -1 -1 1 140 18011 11 -1 1 -1 1 200 22012 12 1 1 -1 1 140 28013 13 -1 -1 1 1 120 12014 14 1 -1 1 1 140 18015 15 -1 1 1 1 200 20016 16 1 1 1 1 320 300

Raw Data

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1-1

360320280240200

1-1

1-1

360320280240200

1-1

ti me

均值

area

concentrati on roughness

force 主效应图数据均值

Main Effect Plot

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1-1 1-1 1-1

400

300

200

400

300

200

400

300

200

t i me

area

concentrat i on

roughness

-11

ti me

-11

area

-11

concentrat i on

force 交互作用图数据均值

Interactions Plot

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area*t i me

10- 1

1. 0

0. 5

0. 0

- 0. 5

- 1. 0

concent rat i on*t i me

10- 1

1. 0

0. 5

0. 0

- 0. 5

- 1. 0

roughness*t i me

10- 1

1. 0

0. 5

0. 0

- 0. 5

- 1. 0

concent rat i on*area

10- 1

1. 0

0. 5

0. 0

- 0. 5

- 1. 0

roughness*area

10- 1

1. 0

0. 5

0. 0

- 0. 5

- 1. 0

roughness*concent rat i on

10- 1

1. 0

0. 5

0. 0

- 0. 5

- 1. 0

t i me - 1area - 1concent rat i on - 1roughness - 1

保持值

> – – – – – – < 100

100 150150 200200 250250 300300 350350 400

400

f orce

f orce 的等值线图

Contour Plot

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5. 02. 50. 0- 2. 5- 5. 0- 7. 5- 10. 0

99

9590

80706050403020

105

1

标准化效应

百分比

A t i meB areaC concent rat i onD roughness

因子 名称

不显著显著

效应类型

ABC

D

B

A

标准化效应的正态图（响应为 f orce，Al pha = 0. 05)

Normal Plot of Effects

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ACABC

BCABDCDBD

ABCDBCDACDAD

ABCABD

9876543210

项

标准化效应

2. 120A t i meB areaC concent rat i onD roughness

因子 名称

标准化效应的 Pareto 图（响应为 f orce，Al pha = 0. 05)

Pareto Plot

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ANOVA

• Time• Area• Roughness• Time*Area* Concentration

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Force = 268.13 + 38.75×time + 55.62×area + 1.87×concentration - 79.37×roughness + 23.75×time×area×concentration

Regression

100500-50-100

99

90

50

10

1

残差

百分比

500400300200100

100500

-50-100

拟合值

残差

120600-60-120

10. 0

7. 5

5. 0

2. 5

0. 0

残差

频率

3230282624222018161412108642

100500

-50-100

观测值顺序

残差

正态概率图 与拟合值

直方图 与顺序

force 残差图

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曲线高

低1. 0000D优化

d = 1. 0000

最大值f orce

y = 467. 5000

1. 0000合意性复合

- 1. 01. 0

- 1. 01. 0

- 1. 01. 0

- 1. 01. 0

area concent r roughnest i me[1. 0] [1. 0] [1. 0] [ - 1. 0]

Response Optimization

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References

[1] 中华人民共和国工业和信息化部 . 中华人民共和国轻工行业标准 [Z]. 2011.

[2] 百度百科 . 聚乙烯醇 [OL]. 2013. <http://baike.baidu.com/view/333383.htm#14_6>

[3]Wang Kaibo. Full factorial design. 2013.

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